In this ongoing blog series on Mathematical Language Routines (MLRs), we have covered four essential routines so far. Let’s recap their key ideas: MLR 1: “Stronger and Clearer Each Time,” MLR 2: “Collect and Display,” MLR 3: “Critique, Correct, Clarify,” and MLR 4: “Information Gap.” These routines are designed to enhance oral and written communication skills in mathematics. Now, let’s turn our attention to MLR 5: “Co-Craft Questions and Problems,” which offers a unique approach. It encourages students to actively participate in the question and problem-solving process, enabling them to explore mathematical contexts before seeking answers.
In MLR 5, students are given the opportunity to dive deeper into problem-solving by creating, analyzing, and enhancing mathematical questions, problems, and situations. The purpose of this routine is to provide students with a space where they can generate, analyze, and improve their understanding of mathematical concepts, specifically word problems. Through engaging in conversations, students refine their ability to formulate, select, and refine questions, allowing them to develop stronger critical thinking skills. This routine fosters students’ ability to use conversation skills effectively in the process of formulating, selecting, and refining their mathematical questions and problems. By actively participating in these conversations, students take ownership of their learning and become more proficient problem solvers. Curiosity Creator, found in The EduProtocols Field Guide Math Edition, Chapter 18, is one way to practice this routine.
Another excellent routine that can be seamlessly integrated into MLR 5 is the 3-Act Math Task, originally developed by Dan Meyer. This ingenious task involves providing students with minimal information, serving as a catalyst to foster curiosity and encourage them to generate questions that they can later answer with additional information provided in subsequent acts.
The first act, known as Act 1, is designed to stimulate students’ observation skills and curiosity. During this phase, students are encouraged to ponder upon what they notice and wonder about the given scenario. They also formulate questions that they will eventually solve. Act 1 is an opportune moment for students to engage in conversations regarding their observations, estimations ( too high, too low, or actual), a specific focus question, and the type of information they need to answer their own question.
In Act 2, students are provided with the necessary information to solve the problem or question they crafted in Act 1. Armed with this newfound knowledge, they embark upon the solving process.
Finally, Act 3 allows students to review the actual answer and assess whether their initial predictions were correct.
This routine is highly engaging for students across all levels, offering a perfect balance between accessibility and challenge. It also offers a wide range of ready-made, standards-aligned tasks suitable for students from Kindergarten through high school. By incorporating the 3-Act Math Task routine into the classroom, instructors can empower students to actively participate in problem-solving, develop critical thinking skills, and cultivate a deep understanding of the importance of co-constructing problems and questions.









Next week I will start
For a few years now I have been using
As I’ve stated, it wasn’t until this year that I began using this site consistently. My partner teacher and I have been planning weekly lessons around one video or another. This week, we were in the ‘